What are the solutions to the equation 8s^2-7s+6=0 ?

The solutions to the equation 8s^2-7s+6=0 are s= 7/16+i(sqrt(143))/(16),s= 7/16-i(sqrt(143))/(16)

Find the zeros of 8s^2-7s+6=0

The zeros of 8s^2-7s+6=0 are s= 7/16+i(sqrt(143))/(16),s= 7/16-i(sqrt(143))/(16)

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8 s^{2} - 7 s + 6 = 0

s = \frac{7}{16} + i \frac{143}{16}, s = \frac{7}{16} - i \frac{143}{16}

Solution steps

8 s^{2} - 7 s + 6 = 0

Solve with the quadratic formula

s_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 8 \cdot 6}{2 \cdot 8}

Simplify

(- 7)^{2} - 4 \cdot 8 \cdot 6 : 143 i

s_{1, 2} = \frac{- ( - 7 ) \pm 143 i}{2 \cdot 8}

Separate the solutions

s_{1} = \frac{- ( - 7 ) + 143 i}{2 \cdot 8}, s_{2} = \frac{- ( - 7 ) - 143 i}{2 \cdot 8}

s = \frac{- ( - 7 ) + 143 i}{2 \cdot 8} : \frac{7}{16} + i \frac{143}{16}

s = \frac{- ( - 7 ) - 143 i}{2 \cdot 8} : \frac{7}{16} - i \frac{143}{16}

The solutions to the quadratic equation are:

s = \frac{7}{16} + i \frac{143}{16}, s = \frac{7}{16} - i \frac{143}{16}

x^{2} - 4 x - 14 = 0

t, M (t) = - 2 t^{2} + 100 t + 180

0.937058 x^{2} - 2.125884 x + 0.937058 = 0

21 c^{2} - 16 c - 6 = 1 - 2 c

d^{2} + 6 d - 27 = 0

What are the solutions to the equation 8s^2-7s+6=0 ?
The solutions to the equation 8s^2-7s+6=0 are s= 7/16+i(sqrt(143))/(16),s= 7/16-i(sqrt(143))/(16)
Find the zeros of 8s^2-7s+6=0
The zeros of 8s^2-7s+6=0 are s= 7/16+i(sqrt(143))/(16),s= 7/16-i(sqrt(143))/(16)